Here a pdf of the waveguide ID measurements. You can see there is no exponential curve as might have been expected.
I look at the numbers and I think something is strange around the 2" mark. It seems to open quickly and the even out. I don't remember seeing that. I will have to recheck. I am guessing because it was so far down the mouth that I measured it at the wrong spot or more likely, the measure at the 1" mark was wrong.
The slight compression in the side view does not occur on the top view.





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